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ElenaW [278]
3 years ago
12

The solid shown is constructed from a cylinder and two hemispheres with dimensions as shown. Find the volume of this solid to th

e nearest cubic unit.

Mathematics
1 answer:
JulsSmile [24]3 years ago
7 0

Answer:

Volume of solid = 10,466.67 unit² (Approx)

Step-by-step explanation:

Given:

Height of cylinder = 20 unit

Radius of hemisphere = 10 unit

Radius of cylinder = 10 unit

Two hemisphere = 1 sphere

Find:

Volume of solid.

Computation:

Volume of solid = Volume of cylinder + Volume of sphere

Volume of solid = πr²h + 4 /3[πr]³

Volume of solid = π[r²h + (4 /3)(r)³]

Volume of solid = 3.14[(10)²(20) + (4 /3)(10)³]

Volume of solid = 3.14[2,000 + 1333.34]

Volume of solid = 10,466.67 unit² (Approx)

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Help please, will give thanks uwu
BabaBlast [244]

(3x) + (x+60) = 180

4x + 60 = 180

Subtract 60 from both sides

4x = 120

Divide 4 from both sides

x = 30

7 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through the point (-1, 4) and has a<br> slope of -5?
AfilCa [17]

Answer:

Step-by-step explanation:

y - 4 = -5(x + 1)

y - 4 = -5x - 5

y = -5x - 1

4 0
2 years ago
There are many square prisms with volume 125 in. Let w represent the side length of the square base and h represent the height i
iogann1982 [59]

Answer:

5in by 5in by 5in

Step-by-step explanation:

We are not told wat to find but we can as well find the dimension of the prism that will minimize its surface area.

Given

Volume = 125in³

Formula

V = w²h ..... 1

S = 2w²+4wh ..... 2

w is the side length of the square base

h is the height of the prism

125 = w²h

h = 125/w² ..... 3

Substitute eqn 3 into 2 as shown

S = 2w²+4wh

S = 2w²+4w(125/w²)

S = 2w²+500/w

To minimize the surface area, dS/dw = 0

dS/dw =4w-500/w²

0= 4w-500/w²

Multiply through by w²

0 = 4w³-500

-4w³ = -500

w³ = 500/4

w³ =125

w = cuberoot(125)

w = 5in

Get the height

125 =w²h

125 = 25h

h = 125/25

h = 5in

Hence the dimension of the prism is 5in by 5in by 5in

5 0
2 years ago
Find the ratio of the following 1) 25to 35​
Ad libitum [116K]

Answer:

The ratio of 25/35 is

Step-by-step explanation:

25/35

=5/7 (both cut by 5)

So, your answer is 5:7

8 0
2 years ago
Read 2 more answers
Can anyone explain to me how to solve for this?
il63 [147K]

Answer:

x = 11

Step-by-step explanation:

The angle formed by two secants is half the difference of the intercepted arc angles.

m∠D = ½ (mBS − mCE)

60 = ½ (173 − (5x − 2))

120 = 173 − 5x + 2

5x = 55

x = 11

6 0
3 years ago
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